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Simplifying 5(x + 2y) + -2(x + -3y) = 0 (x * 5 + 2y * 5) + -2(x + -3y) = 0 (5x + 10y) + -2(x + -3y) = 0 5x + 10y + (x * -2 + -3y * -2) = 0 5x + 10y + (-2x + 6y) = 0 Reorder the terms: 5x + -2x + 10y + 6y = 0 Combine like terms: 5x + -2x = 3x 3x + 10y + 6y = 0 Combine like terms: 10y + 6y = 16y 3x + 16y = 0 Solving 3x + 16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. 3x + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 3x + 0 = 0 + -16y 3x = 0 + -16y Remove the zero: 3x = -16y Divide each side by '3'. x = -5.333333333y Simplifying x = -5.333333333y
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